220809673722880 has 528 divisors, whose sum is σ = 620728482405600. Its totient is φ = 74721620131840.

The previous prime is 220809673722877. The next prime is 220809673722887. The reversal of 220809673722880 is 88227376908022.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (220809673722887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1448530506 + ... + 1448682934.

Almost surely, 2^{220809673722880} is an apocalyptic number.

220809673722880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220809673722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310364241202800).

220809673722880 is an abundant number, since it is smaller than the sum of its proper divisors (399918808682720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220809673722880 is a wasteful number, since it uses less digits than its factorization.

220809673722880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152588 (or 152553 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 64.

The spelling of 220809673722880 in words is "two hundred twenty trillion, eight hundred nine billion, six hundred seventy-three million, seven hundred twenty-two thousand, eight hundred eighty".